This problem is from the Columbus State University problem of the week. Link
Given , find the value of .
Note that this string of equalities gives us the following relations.
We will first solve for which will in turn allow us to solve for the other values. Equations (1), (2), and (3) tell us that , , and , respectively. If we substitute these values into equation (4) we find
Thus we can use equations (1), (2), and (3) to find that , , and . Their sum is